237 citations · 694 across the 48 of their papers we have counts for
44 papers · 1 filter
A note on the moduli of stable sheaves on elliptic ruled surfaces
Kota Yoshioka
We study the non-emptyness of moduli of stable sheaves on an elliptic ruled surface with a nef. anticanonical bundle.
Stability and Fourier-Mukai transforms on an eliptic surface
Kota Yoshioka
We shall introduce a stability condition for a coherent sheaf associated to an elliptic surface. Then we study the behavior under relative Fourier-Mukai transforms.
Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle
Kota Yoshioka
For a Fourier-Mukai transform whose kernel is the Poincare line bundle, we study the preservation of Gieseker stability of sheaves on any abelian surface. As an application, we giv…
Weak Brill-Noether on Abelian Surfaces
Izzet Coskun, Howard Nuer, Kota Yoshioka
We study the cohomology of a general stable sheaf on an abelian surface. We say that a moduli space satisfies weak Brill-Noether if the general sheaf has at most one non-zero cohom…
A note on stability conditions on an elliptic surface
Kota Yoshioka
We shall study stability conditions and Fourier-Mukai transforms on an elliptic surface. In particular we shall explain duality of elliptic surfaces by Fourier-Mukai transforms.
Some moduli spaces of 1-dimensional sheaves on an elliptic ruled surface
Kota Yoshioka
We shall study moduli spaces of stable 1-dimensional sheaves on an elliptic ruled surface.